- The payoff matrix for player \(A\) in a two-person zero-sum game is shown below.
| \cline { 3 - 5 }
\multicolumn{2}{c|}{} | \(B\) |
| \cline { 2 - 5 }
\multicolumn{2}{c|}{} | I | II | III |
| \multirow{3}{*}{\(A\)} | I | - 3 | 4 | 0 |
| \cline { 2 - 5 } | II | 2 | 2 | 1 |
| \cline { 2 - 5 } | III | 3 | - 2 | - 1 |
Find the optimal strategy for each player and the value of the game.
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\section*{Fig. 1}
Construct an activity network
Use appropriate forward and backward scanning to find
- the minimum number of days needed to complete the entire project,
- the activities which lie on the critical path.